Finding the Fourth Proportional to 10,493.15, 14,480.01 and 5,777.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.15 : 14,480.01 = 5,777.33 : x
2. Step 2: Convert to fraction form
   10,493.15/14,480.01 = 5,777.33/x
3. Step 3: Cross multiply
   10,493.15x = 14,480.01 × 5,777.33
4. Step 4: Simplify right side
   10,493.15x = 83,655,723.77
5. Step 5: Solve for x
   x = 83,655,723.77/10,493.15
6. Step 6: Final answer
   x = 7,972.42